I was working on some math/simulations on top of Lanterns (https://boardgamegeek.com/boardgame/160851/lanterns-harvest-festival). Will keep updating this thread as I find more interesting things. For now:

## List of all tiles in Lanterns:

Colors are:

```
R=RED
B=BLUE
G=GREEN
Y=YELLOW
P=PINK
K=BLACK
W=WHITE
```

Each tile is described clockwise with 4 colors going form north->east->south->west. There are total 24 “normal” tiles and the last one is the starting tile,

```
BKWG, YPWR, YKPR, PPKP, GBKY, GRGG, RGKR
KYRW, WYPW, YGWG, KWYP, BYBG, PBBK, YYPY
BWGP, KWKY, YBPK, GPRK, KGBR, BWYP, GRYW
WRGW, BWGP, PWRB, PRGB, RWKB, BRWK
```

Note that the `BRWK`

at the end is the starting tile.

**These are the platform tiles** (Total 9)

```
KRYR*, BWBK*, PRKK*, YYBW*, PBPG*
YBYB*, KWKW*, GGRR*, PRGP*,
```

## Color Distribution

How many times does each color show across all(including platform) tiles:

```
RED: 20
BLUE: 21
GREEN: 20
YELLOW: 20
PINK: 21
BLACK: 21
WHITE: 21
```

How many times does each color show up across all platform tiles (so there are 4 red platform tiles, but they have 6 red sections total).

```
RED: 6
BLUE: 6
GREEN: 6
YELLOW: 7
PINK: 6
BLACK: 6
WHITE: 7
```

How many tiles are there with atleast one-of-this color:

```
RED: 17
BLUE: 17
GREEN: 16
YELLOW: 16
PINK: 17
BLACK: 18
WHITE: 18
```

How many platform tiles are there with atleast one-of-this-color:

```
RED: 4
BLUE: 4
GREEN: 4
YELLOW: 5
PINK: 4
BLACK: 4
WHITE: 5
```

Looks pretty balanced so far. However, remember that the starting tile is pre-decided (BRWK).

I might do some fancy graphs later if I get time.